State the dual problem. Use y1, y2,  y3 and y4 as the variables. Given: y1 ? 0, y2 ? 0,  y3 ? 0, and y4Maximizez = x1 + 2x2 + 3x3subject to:6x1 + 3x2 + x3 ? 18 4x1 + 7x2 + 3x3 ? 35 x1 ? 0, x2 ? 0, x3 ? 0

A.

Minimizew = 18y1 + 35y2
subject to:6y1 + 4y2 ? 1
 3y1 + 7y2 ? 2
   y1 + 3y2 ? 3
B. Minimize w = 35y1 + 18y2
subject to:4y1 + 6y2 ? 1
 7y1 + 3y2 ? 2
 3y1 + y2 ? 3
C. Minimize w = 35y1 + 18y2
subject to:4y1 + 6y2 ? 1
 7y1 + 3y2 ? 2
 3y1 + y2 ? 3
D.
Minimizew = 18y1 + 35y2
subject to:6y1 + 4y2 ? 1
 3y1 + 7y2 ? 2
   y1 + 3y2 ? 3


Answer: A

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